14414231040 has 320 divisors, whose sum is σ = 50816747520. Its totient is φ = 3456368640.

The previous prime is 14414231033. The next prime is 14414231053. The reversal of 14414231040 is 4013241441.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 14414231040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8193681 + ... + 8195439.

It is an arithmetic number, because the mean of its divisors is an integer number (158802336).

Almost surely, 2^14414231040 is an apocalyptic number.

14414231040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14414231040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25408373760).

14414231040 is an abundant number, since it is smaller than the sum of its proper divisors (36402516480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14414231040 is a wasteful number, since it uses less digits than its factorization.

14414231040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1893 (or 1877 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 14414231040 its reverse (4013241441), we get a palindrome (18427472481).

The spelling of 14414231040 in words is "fourteen billion, four hundred fourteen million, two hundred thirty-one thousand, forty".